How can I simplify or resample a Bezier curve?
You can simplify the curves with an addon called Simplify Curves that can be found and enabled in the settings.

When the addon is enabled you need to select the curve that you want to simplify, then hit Space bar button and type simplify curves in the search field.



Once you selected the function, by bringing operator menu with F6 button or in the operator panel you will be able to change the amount of smoothing.



Once you get the desired result, change the Shape of the curve to 3D in the Curve Settings panel.



Original:


Result: